Abstract
We investigate the effect of the Rashba interaction on two dimensional superconductivity. The presence of the Rashba interaction lifts the spin degeneracy and gives rise to the spectrum of two bands. There are intraband and interband pairs scattering which result in the coupled gap equations. We find that there are isotropic and anisotropic components in the gap function. The latter has the form of cos φk where . The former is suppressed because the intraband and the interband scatterings nearly cancel each other. Hence, −the system should exhibit the p-wave superconductivity. We perform a detailed study of electron-phonon interaction for 2DEG and find that, if only normal processes are considered, the effective coupling strength constant of this new superconductivity is about one-half of the s-wave case in the ordinary 2DEG because of the angular average of the additional in the anisotropic gap function. By taking into account of Umklapp processes, we find they are the major contribution in the electron-phonon coupling in superconductivity and enhance the transition temperature Tc.
Highlights
Spin-orbit interaction (SOI) plays crucial roles both in opening a new field such as topological insulators[1,2,3] and important applications on spin transport electronics named spintronics[4,5,6]
It was found that systems with Rashba interaction exhibit two-dimensional (2D) superconductivity, such as the interface of the LaAlO3/SrTiO17 and LaTiO3/SrTiO318 heterostructures, and the interface of a topological insulator Bi2Te3 film grown on a non-superconducting FeTe thin film[19]
The mixing of the spin-singlet d-wave and the spin-triplet p-wave due to inversion symmetry broken Rashba-type spin-orbit interaction via Hubbard model was reported in ref
Summary
We derive the effective Hamiltonian of superconductivity in the Rashba eigen-spinor basis. By diagonalizing the effective Hamiltonian, we can write down the ground state wave function and obtain the two coupled gap equations. The. E l, −σ the first summation term means the cancellation between intraband and interband pair scattering contribution and its contribution to the gap energy almost vanishes. E l, −σ the first summation term means the cancellation between intraband and interband pair scattering contribution and its contribution to the gap energy almost vanishes
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